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22211322112 = 287210317191
BaseRepresentation
bin10100101011111001…
…011110000100000000
32010022221112001220201
4110223321132010000
5330442044301422
614112001414544
71414263060100
oct245371360400
963287461821
1022211322112
119468792061
12437a63a454
13212c871865
141109c6d200
1589ee72727
hex52be5e100

22211322112 has 108 divisors (see below), whose sum is σ = 52078143936. Its totient is φ = 9426170880.

The previous prime is 22211322079. The next prime is 22211322127. The reversal of 22211322112 is 21122311222.

It is a self number, because there is not a number n which added to its sum of digits gives 22211322112.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1283437 + ... + 1300627.

Almost surely, 222211322112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22211322112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26039071968).

22211322112 is an abundant number, since it is smaller than the sum of its proper divisors (29866821824).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22211322112 is a wasteful number, since it uses less digits than its factorization.

22211322112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17324 (or 17303 counting only the distinct ones).

The product of its digits is 192, while the sum is 19.

Adding to 22211322112 its reverse (21122311222), we get a palindrome (43333633334).

The spelling of 22211322112 in words is "twenty-two billion, two hundred eleven million, three hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 103 112 128 196 206 224 256 392 412 448 721 784 824 896 1442 1568 1648 1792 2884 3136 3296 5047 5768 6272 6592 10094 11536 12544 13184 17191 20188 23072 26368 34382 40376 46144 68764 80752 92288 120337 137528 161504 184576 240674 275056 323008 481348 550112 646016 842359 962696 1100224 1292032 1684718 1770673 1925392 2200448 3369436 3541346 3850784 4400896 6738872 7082692 7701568 12394711 13477744 14165384 15403136 24789422 26955488 28330768 30806272 49578844 53910976 56661536 86762977 99157688 107821952 113323072 173525954 198315376 215643904 226646144 347051908 396630752 453292288 694103816 793261504 1388207632 1586523008 2776415264 3173046016 5552830528 11105661056 22211322112